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1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. 15. y = 1, where x ≥ 0 √3x + ²/2 if x ≥ 3 -(4x+8)² if x <-3

1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. 15. y = 1, where x ≥ 0 √3x + ²/2 if x ≥ 3 -(4x+8)² if x <-3

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 7CA
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1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. 15. y = = 1, where x ≥ 0 if x ≥ 3 √ √ ² x + ²/² |-(4x+8)² if x < −3
Transcribed Image Text:1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. 15. y = = 1, where x ≥ 0 if x ≥ 3 √ √ ² x + ²/² |-(4x+8)² if x < −3
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